3 papers
math.AP2026
Existence and nonexistence results for a nonlocal isoperimetric problem on
Haizhong Li, Bo Yang
In Euclidean space , the minimization problem of a nonlocal isoperimetric functional with a competition between perimeter and a nonlocal term derived from the negativ…
math.DG2025
Do Carmo's problem for CMC hypersurfaces in
Jingche Chen, Han Hong, Haizhong Li
In this paper, we prove that complete noncompact constant mean curvature hypersurfaces in with finite index must be minimal. This provides a positive answer to do Ca…
math.DG2024
Remarks on "Spiral Minimal Products"
Haizhong Li, Yongsheng Zhang
This note aims to give a better understanding and some remarks about recent preprint ``Spiral Minimal Products". In particular, 1. it should be pointed out that a generalized Delau…